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The function f shown in the graph is an even function.

The function f shown in the graph is an even function.-example-1
User Sagarr
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2 votes

the top half is the bottom is not

User Donclark
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f is increasing over the interval 0 < x < 2.

f(2) = 3.

f is decreasing over the interval 2 < x < 5.

In Mathematics and Geometry, a function f(x) is considered as an even function if the following condition holds for all x-values (both positive x-values and negative x-values) in the domain of function f(x):

f(x) = f(-x) ⇒ symmetrical with y-axis.

This ultimately implies that, a function that is symmetric with respect to the y-axis is an even function.

In this context, we can logically deduce the opposite of this graph would be defined over the interval x ≥ 0. Therefore, we can reasonably infer and logically deduce the following true statements;

f is increasing over the interval 0 < x < 2.

f(2) = 3.

f is decreasing over the interval 2 < x < 5.

User AWS PS
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